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Finding the Third Proportional to 440.16 and 967.78

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Solution

The third proportional to 440.16 and 967.78 is: 2,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.16 : 967.78 = 967.78 : x
  2. Step 2: Convert to fraction form
    440.16/967.78 = 967.78/x
  3. Step 3: Cross multiply
    440.16x = 967.78 × 967.78
  4. Step 4: Simplify right side
    440.16x = 936,600.55
  5. Step 5: Solve for x
    x = 936,600.55/440.16
  6. Step 6: Final answer
    x = 2,127.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.